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Finding the Third Proportional to 515,460 and 1,045,416

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Solution

The third proportional to 515,460 and 1,045,416 is: 2,120,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,460 : 1,045,416 = 1,045,416 : x
  2. Step 2: Convert to fraction form
    515,460/1,045,416 = 1,045,416/x
  3. Step 3: Cross multiply
    515,460x = 1,045,416 × 1,045,416
  4. Step 4: Simplify right side
    515,460x = 1,092,894,613,056
  5. Step 5: Solve for x
    x = 1,092,894,613,056/515,460
  6. Step 6: Final answer
    x = 2,120,231.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.